Secants, Tangents, and Angles

Question 1

Circle O is shown. 2 secants intersect at a point outside of the circle to form angle 1. The first arc formed is d, and the second arc formed is b. Arcs a and c are the other 2 arcs outside of the secants.

Revolt · Accepted Answer

C: m∠1 = (b – d)

Question 2

Circle Y is shown. 2 chords intersect. Angle 1 intercepts an arc with measure 37 degrees. Angle 2 intercepts an arc with measure 25 degrees.

Revolt · Accepted Answer

C: 31°

Question 3

Circle O is shown. Tangents C B and A B intersect at point B outside of the circle. The measure of the first arc formed is 126 degrees, and the measure of the second arc formed is 234 degrees.

Revolt · Accepted Answer

B: 54°

Question 4

Circle C is shown. Secants A D and D J intersects at point D outside of the circle. Secant A D intersects the circle at point B and secant D J intersects the circle at point E. Angle D is 37 degrees and the measure of arc B E is 38 degrees. Secants A G and J G intersect at point G outside of the circle. Secant A G intersects the circle at point F and secant J G intersects the circle at point H. Angle G is 32 degrees.

Revolt · Accepted Answer

B: 48°

Question 5

Circle O is shown. Tangents C B and A B intersect at point B outside of the circle. The measure of the first arc formed is 150 degrees, and the measure of the second arc formed is 210 degrees.

Revolt · Accepted Answer

A: 30°

Question 6

Circle O is shown. Tangents X Z and Y Z intersect at point Z outside of the circle. The first arc formed is arc b, and the second arc formed is arc a.

Revolt · Accepted Answer

B: m∠XZY = (a – b)

Question 7

Circle O is shown. Secants C A and C E intersect at point C outside of the circle to form an angle with measure 36 degrees. Secant C A intersects the circle at point B, and secant C E intersects the circle at point D. Arc B D is 48 degrees.

Revolt · Accepted Answer

C: 120°

Question 8

Circle P is shown. Tangents R S and T S intersect at point S outside of the circle to form angle x. The first arc formed is arc y, and the second arc formed is arc z.

Revolt · Accepted Answer

C: The difference of z and y must be 2x.

Question 9

Circle Z is shown. Chords A C and B D intersect. The measure of arc C D is 147 degrees and the measure of arc A B is 133 degrees. Angle 2 intercepts the arc with measure 147 degrees. Angle 1 intercepts the arc with measure 133 degrees.

Revolt · Accepted Answer

C: 140°

Question 10

A circle is shown. Secant P N and tangent O N intersect at point N outside of the circle to form an angle with a measure of 45 degrees. The measure of arc M O is 83 degrees.

Revolt · Accepted Answer

B: 173°

Secants, Tangents, and Angles Answers

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Secants, Tangents, and Angles Answers

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TRY EDGENUITY HACKS